carla can buy 4 sandwiches and 3 cup of coffee for $20 and Steve can buy 3 sandwiches and 4 cup of coffee for $18.50 how much does one cup of coffee cost
Answers
Answer
One cup of coffee costs 2 dollars
Explanation
Let the cost of 1 sandwich be s dollars
Let the cost of a cup of coffee be c dollars
Carla can buy 4 sandwiches and 3 cups of coffee for 20 dollars
4s + 3c = 20 ............. equation 1
Steve can buy 3 sandwiches and 4 cups of coffee for 18.50 dollars
3s + 4c = 18.50 .......... equation 2
We can then bring the two equations together
4s + 3c = 20
3s + 4c = 18.50
Solving this equation simultaneously, we obtain that
s = 3.50
c = 2
Hope this Helps!!!
Related Questions
going to send u a pic of the q
Answers
we have the phrase
fifteen occupant or less
\(\begin{gathered} n\leq15 \\ n\ge0 \end{gathered}\)Remember that the occupants can not be negative numbers
so
n=0,1,2,3,.....,15we have
seventy stadiums or more
the algebraic expression is
\(n\ge70\)so
n=70,71,72,73,...
option Abecause the number of stadiums must be a whole number be aThirty of the 198 students enrolled in Statistics 101 were asked if they wanted Exam II to be atake-home or an in-class assessment. Twenty, or about 67%, of the students polled indicated apreference for an in-class exam. The professor concluded that the majority of the students inthesamplewould prefer an in-class examination for the second assessment. Did the professorperforma descriptive study or an inferential study?
Answers
Answer:
Inferential study
Step-by-step explanation:
From the question, we understand that the professor concluded that majority of the class (of 198 students) preferred in class assessment based on the response from 67% of the sample size (i.e 30 students)
When decisions or conclusions are made about an overall population based on a survey carried out on a smaller sample, such study is referred to as an inferential study or inferential research.
Descriptive study on the other hand focuses on the features rather than the result of the experiment of the dataset.
Fill in table using this function rule y= -4x - 2. I'm confused on on the table of function on what they y is when x is -10
Answers
When x is -10, the value of y is 38. This means that the point (-10, 38) is on the graph of the function y = -4x - 2.
We must determine the values of x and solve for the matching value of y in order to fill in the table using the function rule y = -4x - 2. The table can then be populated with the resulting values for x and y.
An illustration table with x values ranging from -3 to 3 is shown below:
x y
-3 10
-2 6
-1 2
0 -2
1 -6
2 -10
3 -14
We may easily change x in the function rule y = -4x - 2 to -10 to find the value of y when x is -10:
y = -4(-10) (-10) - 2 \sy = 40 - 2 \sy = 38
As a result, y equals 38 when x is -10. This indicates that the point (-10, 38) is located on the y = -4x - 2 function graph.
It's vital to remember that the numbers in the table are produced by inserting various x values into the function rule, and the resulting y-values represent the corresponding locations on the function's graph. The line passing through the point on the graph of the function y = -4x - 2 has a slope of -4 and a y-intercept of -2. (-10, 38).
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Please do 25!! First correct answer gets brainliest! Due Tmrw!!
Answers
Need help fasssssssst
Answers
Answer:
40%
Step-by-step explanation:
that is easy
a researcher selects a simple random sample of 1,200 women who are students at midwestern colleges in the united states to use for an observational study. which of the following describes the population to which it would be most reasonable to generalize the results?
Answers
The population to which it would be most reasonable to generalize the results of the observational study is women who are students at Midwestern colleges in the United States.
This population is well-defined and can be used to make generalizations about the results from the study.
This population can be calculated by taking the total number of college students in the United States and subtracting the number of college students in other regions, as well as the number of male students in the Midwestern region.
The total population of women college students in the Midwestern region of the United States can then be calculated by multiplying the total population by the percentage of female students in the region.
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simplify 2/3x-4/9y+x+y
Answers
Here is ur perfect answer
Simplify 3(x+2) + 2x + 5
Answers
Answer:
\(5x+11\)
Step-by-step explanation:
Step 1: Distribute
\(3x+6+2x+5\)
Step 2: Add like terms
\(5x+11\) < your answer
What is the value of x? Enter your answer in the box. X = cm 5 cm 48 cm 40 cm
Answers
The value of x in the similar triangle is 6 units.
How to find side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:
Hence,
5 / 40 = x / 48
48 × 5 = 40x
240 = 40x
divide both sides by 40
x = 240 / 40
x = 6
Therefore,
x = 6
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BRAINY
Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.
one third plus two sixths equals blank
four sixths
four thirds
three sixths
three ninths
Answers
Answer:
correct answer is four sixths
Step-by-step explanation:
you can simplify 2/6 to 1/3 and then it would just be 1/3 plus 1/3. This is 2/3 or 4/6! Hope this helps :)
Pedro tiene 37 canicas más que Daniel y la suma de las canicas que tienen entre los dos es 143. ¿Cuántas canicas tiene cada uno ?
Answers
Answer:
53
Step-by-step explanation:
x + (x + 37) = 143
Resolviendo para "x":
2x + 37 = 143
2x = 143 - 37
2x = 106
x = 53
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answers
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
What is the volume of this pyramid?
Enter your answer in the box.
Answers
Answer:
9576
Step-by-step explanation:
Area of the triangle × height
(1/2×28×19)×36
An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sink hole without falling in so you use congruent triangles. You have one piece of rope that is 50 ft. long and another that is 70 ft. long. You pick a point A on one side of the sink hole and B on the other side. You tie a rope to each spot and pull the rope out diagonally back away from the sink hole so that the other ends of the two ropes meet at point C. Then you recreate the same triangle by using the distance from AC and BC and creating new segments CE and CD. The distance DE is 52.2 ft.
a. What type of triangles have you created?
b. How do you know the triangles are congruent?
c. How far across is the sink hole?
d. What is the perimeter of the triangle ABC?
Answers
A) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
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Answer:
Step-by-step expA) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?
A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
lanation:
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the angle of elevation to the sun given that a 7.6 meter flagpole casts an 18.2 meter shadow on the ground.
Quick Answer please!!!!
Answers
Answer:
22.7
Step-by-step explanation:
Okay so the situation given shows a right triangle with the two sides being 7.6 and 18.2. So we can find the angle of elevation using tangent, which is tan-1*7.6/18.2. I got 22.66 so 22.7
Factor 7/10 out of 7/10z+21.
7/10z+21=
Answers
Answer:
1/100 (1471 z + 2100)
0.01 (1471 z + 2100) the result I got
and the Factorization over the splitting field:
14.71 z + 21
Help and i will give brainliest no links 5/9−(−3 1/3) (the pics just for fun)
Answers
Answer:
3.88888888889
Step-by-step explanation:
Conversion a mixed number -3 1/3
to a improper fraction: -3 1/3 = -3 1/3= -3 · 3 + (-1)/3= -9 + (-1)/3 = -10/3
To find a new numerator:
a) Multiply the whole number -3 by the denominator 3. Whole number -3 equally -3 * 3/3 = -9/3
b) Add the answer from previous step -9 to the numerator 1. New numerator is -9 + 1 = -8
c) Write a previous answer (new numerator -8) over the denominator 3.
Minus three and one third is minus eight thirds
Subtract: 5/9- (-10/3) = 5/9- (-10) · 3/
3 · 3 = 5/9 - (-30/9) = 5 - (-30)/9 = 35/9
How do I solve this problem?Prove the two expressions are equal
Answers
ANSWER
See the explanation for the proof.
EXPLANATION
First we have to write the secant and the cotangent in terms of sine and cosine:
\(\sec x=\frac{1}{\cos x}\)\(\cot x=\frac{\cos x}{\sin x}\)Replace into the equation,
\(-2\mleft(\frac{\cos x}{\sin x}\mright)^2=\frac{1}{\frac{1}{\cos x}+1}-\frac{1}{\frac{1}{\cos x}-1}\)On the left side distribute the square and on the right side do the addition and subtraction in the denominators,
\(-2\frac{\cos^2x}{\sin^2x}^{}=\frac{1}{\frac{1+\cos x}{\cos x}}-\frac{1}{\frac{1-\cos x}{\cos x}}\)1 over a fraction is equivalent to the reciprocal of the fraction,
\(-2\frac{\cos^2x}{\sin^2x}^{}=\frac{\cos x}{1+\cos x}-\frac{\cos x}{1-\cos x}\)Now do the subtraction on the right side,
\(-2\frac{\cos^2x}{\sin^2x}^{}=\frac{\cos x(1-\cos x)-\cos x(1+\cos x)}{(1+\cos x)(1-\cos x)}\)Note that the denominator is a difference of two squares,
\(-2\frac{\cos^2x}{\sin^2x}^{}=\frac{\cos x(1-\cos x)-\cos x(1+\cos x)}{1-\cos ^2x}\)Apply the distributive property on the two terms of the numerator,
\(-2\frac{\cos^2x}{\sin^2x}^{}=\frac{\cos x-\cos ^2x-\cos x-\cos ^2x}{1-\cos ^2x}\)\(-2\frac{\cos^2x}{\sin^2x}^{}=\frac{-\cos ^2x-\cos ^2x}{1-\cos ^2x}\)\(-2\frac{\cos^2x}{\sin^2x}^{}=\frac{-2\cos ^2x}{1-\cos ^2x}\)Now, for the denominator remember the trigonometric identity
\(\sin ^2\alpha+\cos ^2\alpha=1\)If we solve it for sin²α
\(\sin ^2\alpha=1-\cos ^2\alpha\)Therefore, the expression we have in the denominator of the right side of the equation is equivalent to sin²x,
\(-2\frac{\cos^2x}{\sin^2x}^{}=-2\frac{\cos ^2x}{\sin ^2x}\)Now we have on both sides,
\(-2\cot ^2x=-2\cot ^2x\)Hence, we have proven that the two expressions are equivalent.
How many cubic feet of warehouse space are needed for 350 boxes 11in. by 8in. by 12in?
Answers
Answer:
214 cubic feet (rounded to the nearest cubic foot)
Step-by-step explanation:
Step 1 Determine the volume of 1 box
Volume of a box or rectangular prism = dimensions multiplied by each other
Here, the given dimensions are 11 in by 8 in by 12 in
So the volume of one box would be 11 x 8 x 12 = 1056 cubic inches
Step 2 Determine volume of all 350 boxes
Volume of 1 box = 1056
So volume of all 350 boxes = 1056 x 350 = 369600 cubic in
Step 3 Convert cubic in to cubic ft
To convert to cubic feet we divide the amount of cubic inches by 1728 (this is because there are 1728 cubic inches in 1 cubic foot)
369600 / 1728 = 214 cubic feet (to the nearest cubic foot)
214 cubic feet of warehouse space is required for 350 boxes with the dimensions of 11in by 8in by 12in
Find the total in the retirement account given the following conditions:
Monthly contributions = $225
Interest rate = 4.99%
Years invested = 38
Answers
To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.
The formula for the future value of an investment with regular monthly contributions is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value or the total in the retirement account.
P is the monthly contribution amount.
r is the monthly interest rate (annual interest rate divided by 12).
n is the number of monthly contributions (years invested multiplied by 12).
Let's calculate the total:
P = $225
r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)
n = 38 * 12 = 456 (number of monthly contributions)
FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583
Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.
The calculated total may vary depending on the compounding frequency and rounding used.
stuck on this question
Answers
Reid's flight from Atlanta to Orlando was 1 hour and 20 minutes long, so it must have landed at 6:45 P.M. (8:05 P.M. minus 1 hour and 20 minutes).
Reid was in Atlanta for 2 hours and 35 minutes, so he must have arrived in Atlanta at 4:10 P.M. (6:45 P.M. plus 2 hours and 35 minutes).
Reid's flight from Boston to Atlanta was 2 hours and 50 minutes long, so it must have departed Boston at 1:20 P.M. (4:10 P.M. minus 2 hours and 50 minutes).
Therefore, Reid's first flight from Boston departed at 1:20 P.M.
Let a sphere of radius r be cut by a plane, thereby forming a segment of height h. Show that the volume of this segment is (∏h2(3r-h))/3
Answers
The volume of the segment formed when a sphere of radius r is cut by a plane is equal to (πh2(3r-h))/3. This can be found by using the formula for the volume of a spherical segment, where h is the height of the segment and r is the radius of the sphere.
Step 1: Calculate the volume of a sphere using the formula V = (4/3)πr3
Step 2: Calculate the volume of a cone using the formula V = (1/3)πr2h
Step 3: Calculate the difference between the two volumes to find the volume of the segment.
Step 4: The volume of the segment is (πh2(3r-h))/3.
To calculate the volume of the segment formed when a sphere of radius r is cut by a plane, we use the formula for the volume of a spherical segment. First, we calculate the volume of the sphere using the formula V = (4/3)πr3, then the volume of the cone using the formula V = (1/3)πr2h. By subtracting the two volumes, we find the volume of the segment, which is (πh2(3r-h))/3. This formula is useful in finding the volume of any segment formed when a sphere is cut by a plane.
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2 1. What is the distance between points A and B? 2. What is the distance between points C and D? 3. Plot the point (-3,2). Label it E 4. Plot the point (-4.5, -4.5). Label it F.
HURRYY THIS IS DUE TODAY AND IM TRYING TO GET A TREAT TOMORROW
Answers
To find the difference between two points in a coordinate plane, you can use the distance formula, which is:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where
(x₁, y₁) and (x₂, y₂) are the coordinates of the two points, and
d is the distance between them.
To use the formula, you simply plug in the coordinates of the two points and simplify. The resulting value is the distance between the two points.
For example, let's say you want to find the distance between the points E (-3, 2) and F (-4.5, -4.5)). You would plug in the values as follows:
d = √((-4.5 - (-3))^2 + (-4.5 - 2)^2)
= √((-1.5)^2 + (-6.5)^2)
= √(2.25 + 42.25)
= √(44.5)
≈ 6.67
The points (-3, 2) and (-4.5, -4.5) are plotted and labelled E and F. the figure is attached
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Help me with this answer please!
Answers
a^2 + b^2 = c^2
Substitute in
c = 13
b = 12
Therefore…
13^2 - 12^2 = a^2
a^2 = 25
a = 5
Missing side length is 5 m
A squere is a perimeter of 16.4 inches. what is the area
Answers
Answer:
16.81
Step-by-step explanation:
P = 4a.
then the length of a side is 16.4 /4 = 4.1.
A = a * a = 4.1 * 4.1 = 16.81
Answer:
45.1 cubic inches
Step-by-step explanation:
16.4 divided by 4 is 4.1 and 4.1 multiplied by 4.1 is 45.1.
Joyce works at Fortunato's Furniture. She is paid on commission. She receives 10% of her first $1,200 in sales and 15% of the balance of her sales. Last week she earned $950. What was the value of the furniture she sold? show your work.
Answers
The total value of the furniture sold by Joyce last week is A = $ 6,733.33
Given data ,
Let's call the value of the furniture Joyce sold "x".
She receives 10% commission on the first $1,200 of sales, which is $120:
Commission on first $1,200 = 0.1 * 1200 = 120
The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:
Remaining sales = x - 1200
She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:
Commission on remaining sales = 0.15 * (x - 1200)
Her total earnings from commission last week was $950. So we can write an equation:
Commission on first $1,200 + Commission on remaining sales = $950
Substituting the expressions we found for the two commissions, we get:
120 + 0.15(x - 1200) = 950
120 + 0.15x - 180 = 950
On simplifying the equation , we get
0.15x - 60 = 950
0.15x = 1010
x = 6,733.33
Hence , the value of the furniture Joyce sold last week was $6,733.33
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Simplify 6x^2y^3(2x^2y)^3
Answers
Answer: 6x2y3(2x2y)3
=48x^8 y^6
I need help with this answer PLEASE I’m stuck
Answers
Answer:
40% of airline A's flights were on time
Step-by-step explanation:
0.4=40% .the top row indicates that it was airline A. the left column indicates that it was on time.
Answer:
B
Step-by-step explanation:
happy holidays
SAT Questions: Solving Multi-Step Equations2(5x – 20) – (15 + 8x) = 7What value of x satisfies the equation above?O 31/9O 31I 162O 18
Answers
Answer:
31/9
Explanation:
Given the equation
\(2\mleft(5x-20\mright)-15+8x=7\)Step 1: Open the brackets
\(10x-40-15+8x=7\)Step 2: Take all constants to the right-hand side.
\(\begin{gathered} 10x+8x=7+40+15 \\ 18x=62 \end{gathered}\)Step 3: Divide both sides of the equation by 18
\(\begin{gathered} \frac{18x}{18}=\frac{62}{18} \\ x=\frac{62}{18} \\ x=\frac{31}{9} \end{gathered}\)The value of x that satisfies the given equation is 31/9.
What is the solution to the inequality below?
x2 > 25
A. x < 5 and x>-5
B. x < 5 or x>-5
C. x> 5 or x<-5
D. x > 5 and x < -5
Answers
The answer is D
Steps
Take the root of both sides and solve